313012000320001 has 32 divisors (see below), whose sum is σ = 319584577197600. Its totient is φ = 306489556961280.

The previous prime is 313012000319999. The next prime is 313012000320059. The reversal of 313012000320001 is 100023000210313.

It can be written as a sum of positive squares in 16 ways, for example, as 157011525619776 + 156000474700225 = 12530424^2 + 12490015^2 .

It is a cyclic number.

It is not a de Polignac number, because 313012000320001 - 2¹ = 313012000319999 is a prime.

It is a super-2 number, since 2×313012000320001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313012000360001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34362933235 + ... + 34362942343.

It is an arithmetic number, because the mean of its divisors is an integer number (9987018037425).

Almost surely, 2^{313012000320001} is an apocalyptic number.

It is an amenable number.

313012000320001 is a deficient number, since it is larger than the sum of its proper divisors (6572576877599).

313012000320001 is a wasteful number, since it uses less digits than its factorization.

313012000320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 313012000320001 its reverse (100023000210313), we get a palindrome (413035000530314).

The spelling of 313012000320001 in words is "three hundred thirteen trillion, twelve billion, three hundred twenty thousand, one".